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Finding the Fourth Proportional to 526.83, 789.10 and 343.66

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Solution

The fourth proportional to 526.83, 789.10 and 343.66 is: 514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.83 : 789.10 = 343.66 : x
  2. Step 2: Convert to fraction form
    526.83/789.10 = 343.66/x
  3. Step 3: Cross multiply
    526.83x = 789.10 × 343.66
  4. Step 4: Simplify right side
    526.83x = 271,183.22
  5. Step 5: Solve for x
    x = 271,183.22/526.83
  6. Step 6: Final answer
    x = 514.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.